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Finding the Fourth Proportional to 7,465.71, 10,299.23 and 4,476.36

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Solution

The fourth proportional to 7,465.71, 10,299.23 and 4,476.36 is: 6,175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.71 : 10,299.23 = 4,476.36 : x
  2. Step 2: Convert to fraction form
    7,465.71/10,299.23 = 4,476.36/x
  3. Step 3: Cross multiply
    7,465.71x = 10,299.23 × 4,476.36
  4. Step 4: Simplify right side
    7,465.71x = 46,103,038.82
  5. Step 5: Solve for x
    x = 46,103,038.82/7,465.71
  6. Step 6: Final answer
    x = 6,175.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.